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Simplifying 2(3j + -4) = 4(1 + j) Reorder the terms: 2(-4 + 3j) = 4(1 + j) (-4 * 2 + 3j * 2) = 4(1 + j) (-8 + 6j) = 4(1 + j) -8 + 6j = (1 * 4 + j * 4) -8 + 6j = (4 + 4j) Solving -8 + 6j = 4 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -8 + 6j + -4j = 4 + 4j + -4j Combine like terms: 6j + -4j = 2j -8 + 2j = 4 + 4j + -4j Combine like terms: 4j + -4j = 0 -8 + 2j = 4 + 0 -8 + 2j = 4 Add '8' to each side of the equation. -8 + 8 + 2j = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2j = 4 + 8 2j = 4 + 8 Combine like terms: 4 + 8 = 12 2j = 12 Divide each side by '2'. j = 6 Simplifying j = 6
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